We study spectral triples on (weighted) groups and consider functors between the categories of weighted groups and spectral triples. We study the properties of weights and the corresponding functor for spectral triples coming from discrete weighted groups.

lexicographic ordering by spectral moments ($s$-order) among all trees is discussed in this‎ ‎paper‎. ‎for two given positive integers $p$ and $q$ with $pleqslant q$‎, ‎we denote $mathscr{t}_n^{p‎, ‎q}={t‎: ‎t$ is a tree of order $n$ with a $(p‎, ‎q)$-bipartition}‎. furthermore, ‎the last four trees‎, ‎in the $s$-order‎, ‎among $mathscr{t}_n^{p‎, ‎q},(4leqslant pleqslant q)$ are characterized‎.

in this paper some upper and lower bounds for the greatest eigenvalues of the pi and vertex pimatrices of a graph g are obtained. those graphs for which these bounds are best possible arecharacterized.

the study aimed to investigate the adsorption mechanism of di-n-butyl phthalate (dbp) onbrown soil and red soil in shenyang and hunan province, respectively, china. adsorption kinetics andisotherms experiments were conducted at 288, 298 and 308 k, respectively. results of kinetics showed thatadsorption of dbp exhibited a two-step process in both brown and red soil. different models were used to...

the spectroscopic properties of the 2,2,6,6-tetramethyl-piperidine-1-oxyl (tempo) radicalderivatives of the fullerene (c60) were theoretically investigated. the ground state optimizedstructures of the radical adducts of the fullerene were calculated by using dft (b3lyp) with 6-31g(d) level. it was concluded that a 6-6 ring junction of c60 moiety generally covalently links to thepiperidine ring ...

vertebrobasilar insufficiency is the cause of cerebrovascular accidents in 20% of cases. there are few reports regarding spectral doppler indices (sdis) of vertebral arteries (vas) normal blood flow. the objective of this study was to provide basic reference data about sdis of vas normal blood flow separately and in comparison with internal carotid arteries (icas) and common carotid arteries (c...

BACKGROUND Cardiotocography has a poor diagnostic value in detecting fetal acidosis. Spectral analysis of fetal heart rate variability can be used to monitor the fetal autonomic nervous system. OBJECTIVE To determine the value of spectral analysis for fetal surveillance. METHODS A systematic search was performed in the electronic databases CENTRAL (the Cochrane Library; 2007, Issue 3), PUBM...

As we enter the nanoscale regime, power reduction is of increasing importance, but the established leakage reduction techniques will become less effective. Subthreshold leakage is being joined by band-to-band tunneling and gate leakage as the primary leakage mechanisms. The increased significance of these leakage components threatens the usefulness of some traditional leakage reduction techniqu...